Using The Spectral Radius to Determine whether a Leontief System Has a Unique Positive Solution

Robert Wood, Michael O'Neill

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The Hawkins-Simon condition is a well-known method used to determine the existence of a unique positive solution of a static Leontief system. A method that is sometimes easier to apply is the spectral radius condition. A derivation of the spectral radius condition is presented, together with a computational method for calculation of the spectral radius of the input-output matrix. In addition, several useful bounds are derived for the spectral radius.
Original languageEnglish
Pages (from-to)233-247
Number of pages15
JournalAsia-Pacific Journal of Operational Research
Volume19
Issue number2
Publication statusPublished - 2002

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